Should I use a pen name or pseudonym on my papers as a form of semi-anonymity?
So your question is "am I being irrational in wanting to remain somewhat anonymous on the internet?" The answer is that in the end it is your trade-off. There is benefit to keeping private and professional live separate, but I have been able to so to my satisfaction while not hiding from Google &amp; Co. To me the effort I would have had to put into this (for me it is too late now) was not worth the benefit, but preferences differ between individuals.

When you make this decision try to get an idea of what kind of effort you will have to maintain in order to maintain your online cover and what the potential downsides are if people find it hard to find you. Also try to get a list of all the bad things that can happen if your cover is blown, i.e. what horrible things will happen if Google knows who you are. If you have those two list you can decide for yourself if the benefits outweigh the costs.