Had the 135 L for many years, it's a beautiful lens, and still sharp by today standard, at least on all 20mpx bodies I had (5D II and 6D), and also AF was pretty good, and we all know that EF lenses on R bodies works even better then on DSLR's, so I think today is still good for some indoor sports, and certainly for portraits and weddings.
Also consider the Sigma 135 f1.8 Art (which I swapped the 135 L for in the past; now I also ditched it for the 105 1.4 Art) which is a beautiful lens, depending on what you're looking for; the Canon is probably slightly more 3D's and probably has a smoother render of bokeh highlights, with a more "classic" look, while the Sigma is razor sharp even at f1.8 and certainly more "clinical".
I know many prefer global rendering over absolute sharpness, personally I just prefer a sharper lens, that I can "sweeten" in post if needed, rather then a softer look which is more complicate to sharpen if needed; I saw the difference between the Canon and the Sigma, but for my taste, I happily sacrificed a tad of rendering for a definitely sharper lens.
My copy of the EF 135mm f2.0 L is a bit battered. It's had a hard life and it's delivered consistently when other lenses would have given up the ghost many times over. One of the benefots of the EF 135mm f2.0 L is that it can take a 1.4x tc with minimal drop in IQ. The 2x TC is pretty poor optically on this lens.
For me, I can do 95% on this lens with what i can do on my 70-200/2.8 II LIS. I can often take a few steps forwards and make up the difference between a 200 & 135mm lens. If notm, there's the 1.4x TC or even drop my R5 into 1.6x crop mode and it's a very sweet approx 200mm. It's way lighter and smaller than the EF zoom and gives slightly nicer results (in my opinion). Although the RF 70-200mm f2.8 LIS is pretty spectacular in terms of it's physical size and weight. If I have a 24-70 f2.8 with me, I use the long end of that lens to compliment my 135 on my other camera.
My EF 85mm f1.2 IIL is boarderline sharp enough wide open for my R6ii and R5....I need a lot of post sharpening for that particaulr lens. My 135, is matching or even very slightly out resolves both my R6ii and R5 sensors. I need a touch more sharpening on my R5 than I would with my EF 24-70mm f2.8 II L. but it's close.
The achillies heel of the EF 135mm f2.0 L (and also the EF 85mm f1.2 II L) is strong magenta / green Loca on spectacular highlights. it's easily corrected in Lightroom, but it is very strong on these two lenses. The other issue on my R5 and R6ii is AF point accuracy, the smallest AF box is still too large for the super slim DOF these two lenses produce and the view finders (although excellent) don't seem to make the exact point of focus pop as much as I would like. If I put a subject on a 30' slant, the smallest AF window on offer on either camera covers quite a lot of distance in the AF window and literally could be anywhere in that window.
I am getting the best AF results out of my R6ii and R5 with these two lenses than I've ever seen before with DSLR 5D series cameras.
I have tried a RF 135mm f1.8 LIS.
The rendering was very similar to my older lens. It lens was a lot larger and heavier (although the size isn't a lot different to my adapted ef 135mm f2.0 L). The extra 1/3rd of a stop was slightly more noticable that I expected in portraits. The lens was noticably heavier and less manageble. it was nice to have the image Stabiliser...although both my R6ii and R5 have IBIS, which helps a bit with long lenses.
I liked the reduced min focus distance. The copy I handled seemed to be closer to 130mm than my EF lens. it was certainly sharp! Oh yes, it's a very sharp lens for sure. The rendering and colours are very nice, maybe more contrast on the RF and the colours pop a bit more. It doesn't take a TC which is dissapointing, however, there's always the 1,6x crop mode to fall back on.
My reasons for not replacing this lens, the old one is a known thing. It's suprisingly still sharp enough. Do I really want blistingly sharp portraits? It's smaller, lighter and does 95% of what the new RF can do. It's also free to me because I bought it over 20 years ago. The new one is very expensive. I think I'm more likely to get a RF 50L first, then maybe a RF 85L and then possibly a RF 135L.....eventually, when I have had a fiscal windfall!