Not ASB in the slightest. The further the timeline goes beyond the POD, the less ASB it becomes, and the more ASB it becomes not to.
I would say:
- The only reason an OC should be involved in the POD is if the POD involves an OTL unknown becoming known for some reason (assassinating someone who wasn't assassinated in OTL, for example).
- If the gender of a child of OTL parents who were already adults at the POD is the same as in OTL, they'll probably have the same name. (I.e.: a TL with a 1916 POD will probably see Joseph Kennedy Sr.'s next-born son named John, even if he isn't born until, say, 1919 rather than 1917 and has a personality radically different from OTL JFK.)
- Beyond that, though... people will die in wars that survived OTL, people will survive wars that died OTL, people will marry different people, people will make different career decisions, etc., etc. - it's not at all a problem to have an OC in 1950 in a reasonably prominent position in a TL whose POD was 1930.