I had a right tilt Unisaw for 7 years before switching to a left tilt. I didn't even realize there were left tilt saws before seeing a Powermatic 66. (This was in the 1980s well before the internet). Having lived with a right tilt for 7 years, (and in HS and college too), and then a left tilt for 17 years, I would not buy a right tilt again. Here is why.
1) miters with the blade tilted and using the miter guage. I find that this is the most common cut for me with the saw tilted. With the right tilt, I stand the left of the blade (safe) and the stock extends to the left of the blade. This is great unless the stock is longer than 4 feet or so. When it's long, it's hard to control the stock and cut the miter. I had tons of trouble with this growing up with an old old Sears saw. With the left tilt, The stock extends to the right, where I have a lot more table to support the stock. I stand to the right of the blade, and I think this is just as safe.
2) Blade tilted and using the rip fence. I found that putting the fence on the left of the blade works for narrow rips, but for 12" or so and wider it won't work. When I ripped wider panels with a bevel, I had to put the good face down, and invariably this would create problems on the goodface. Also, ripping with the fence on the left always left strange as most of my experience is with the fence on the left.
3) Blade alignment to the fence. With right tilt, the blade is always zero'd and the claim of owners is that when you switch to a dado head, with a right tilt, no adjustment is required. For this to be true, all your blades and dado blades must have the same tooth to plate clearance as the only thing consistent is where the plate hits the arbor flange. My stacked dado set has thick plates and the tooth overhang is more than on my regualr saw blades. So, for me, I have to readjust for left and right tilt saws. If you are counting on this benefit with your right tilt saw, make sure to buy blades that all have the same tooth to plate clearance. Also, with the Sears saw, it was pretty underpowered so we changed blades a lot. With the Unisaw, then PM66, and now SawStop, I have plenty of power and a Forrest WWII 40 tooth is on my saw 99% of the time, so I change blades pretty infrequently. If I had a much lower powered saw this might be a bigger issue.
I thought right tilt was great, and then I went to a left tilt, mainly for reason #1 above. Now I would never go back to a right tilt...joe