Here's the good news: your ALH Beetle has no lift pump to wear out.
But here is the bad news: the injection pump itself can wear out, get noisy, or more commonly, leak and ruin hoses and such underneath.
Not too many ALH pumps left that have not been rebuilt or replaced anymore it seems. I did both of mine this year, and so far we've done a half dozen others. Which is down from years past because there are fewer of these on the road and/or most have already been done.
If the car runs OK, and the pump makes no clicky sounds, and is not leaking, then motor on. Just be sure it gets checked periodically at least at every service.
If your 16 year old car, at 343k miles, has its original pump intact and working with no issues, it did good, and if it would need attention soon it would not at all be a surprise.