That's 64bit epoch time, not 32bit. 32bit exhausts in Y2038. Well within the bounds of sensible long-term modeling projects. (Though I do catch the pithy sarcasm.)
You won't be able to hand wave away lunar, rotational, and orbital periods that easily. Especially since the SI unit of time used by epoch time is derived there from. (Epoch time is seconds past midnight, from an arbitrarily chosen day, on a specific year. Both the second itself, as a unit of measure, is based on the minute, hour, and day, as fractions of a rotational period, as well as the arbitrarily selected day used by the standard is derlived from a day, week, month, and year, which are fractions of an orbital period and an arbitrary accounting schema for tracking those periods, respectively. You would need to redefine the SI unit for time to do what you are looking for here. As-is, the best you are doing is obfuscating the prior accounting method with another one, while keeping the baggage by retaining the unit. Perhaps you should follow the trend to metricise the units seen with the other SI units, and find a common factor between the rotational and orbital periodicities, and use that to derive a new SI second?) some things are actual regular cycles, even though work weeks and months are not.