"and checking ANOTHER gmail address"
If you forward it it's not another account to check though. Sure you have to set it up.
Also, obscuring it doesn't prevent someone who has written to you having a situation where your email ends up in the wrong hands (for sure you've received, if you don't have spam protection, those emails where someone who has emailed you has had some virus which gets all their email contacts, right?)
If you setup a dedicated gmail you can periodically change that as well "refresh" using your own email you can't do that.
To be sure though the pet peeve is really more just thinking that people are being overly hygienic about protecting their email address I guess. You are right that it's not a huge burden on someone who is sending you an email.
When I used to post my gmail account to my HN profile gmail caught all the spam it wasn't a problem (maybe this was for a year or year and a half that it was in the profile..)