Yes, most probably he's really serious. It depends on actually what he tells other people about you and how he does it. If you can find about what he told others (without being too nosey and not violating social norms), you'll get a much better picture. Actually, asking friends about your relationship, if they are aware of it, provides a much better estimate on how you are doing than your own opinion. This has been established in psychology studies.
To me it seems like you're getting cold feet a bit.
Imo I don't think there's anything wrong with a guy mentioning that he's with you by name, and that he talks about you to your friends.
The key question is...
...would you rather have him be vague about his time with you, and not talk about you at all to his friends and family?
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2Opinion
sometimes is and sometimes it isnt, but if it isn't at least its probably getting closer to serious
If you're with someone you like can't see why you wouldn't at least mention her name?
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