The Type Y has fuel tankage for two consecutive jumps, so it is not confined to its home cluster or the local main. The main problem is, as you say, that it takes a long time to get to far places. I'd expect its J2 counterpart to be more popular, but it will cost MCr8 more, so there would definitely be a niche market for the plain J1 version.
The Type-Y having tankage for two jumps, but only J-1 really doesn't make any sense. If you're going to give up 20% of your ship for fuel, you're probably going to shell out the extra credits to use it properly.
I just think that, while there are probably plenty of billionairs that can afford a nice J-2+ megayacht, there will be a lot more almost-billionairs that can just about afford a J-1 model.
Simon Hibbs