If the bullet point isn't larger than the primer I wouldn't do it. I can't tell from the photo if it is or not. I saw a warning a long time ago in the American Rifleman where they were shooting FMJ flat points through a Rossi 92 357. and a round detonated in the tube. They warned against FMJ bullets in a tube. They said a RN lead bullet has some cushioning for a primer but a FMJ doesn't and of course the best is a flat nose lead or exposed lead bullet.
They worked, for now. Personally, if the the tip of the bullet doesn't bridge the primer pocket so that there's no pressure on the primer, I'd be wary. Yes, the wide tip may distrubute the load across the entire primer and reduces the risk, but the primer has an anvil inside of it. And the anvil stops against the case. But, I've crushed primers with a priming tool before, wtihout them going off. Of course, it's .357 and shouldn't generate too much recoil to compress a primer, but what about a drop onto the buttstock? But, I'm just speculating. If other's shoot these fine, then go for it.
I think this issue is exasperated by folks taking coils off the mag tube spring, allowing a "gap" to form between the primer and its neighbor bullet.
If no gap is present, not an issue.