I have never worked at or heard of a company caring about the names of software, at most it's been a bit of a chuckle. Best guess is being concerned about software names is a super conservative culture thing.
I do believe you, but be honest, both of us could come up with an easy half-dozen names for software that if spoken out loud at work or triggered a filter on the network at the office would have someone explaining to HR what the hell is going on.
Names can be troublesome though, badly named products get caught in spam filters, or blocked in some firewall blacklist.