I think those cases are a minority, and in most cases you would have been fine with just slightly larger ints. It doesn't seems to cause any issue in python for example, because the cases where integers grow exponentially (which is the same as making their size grow linearly, so its still slow memory-wise) and without bounds are not all that common.

For example, an overflow bug was famous in java for being present in the standard library for a very long time: in a core function performing a binary search, the operation computing the middle of the two bounds was a simple average (max + min)/2, which overflow when max and min are big enough, even if the final result always fit in a standard integer.

In a lot of other cases, integer are used to address memory (or to represent array indexes, etc), so in most code they will naturally be restricted by the available amount of memory, even if intermediate computations can temporarily overflow.