Well no one can know what Jesus would say or wouldn’t say…
You are called to imitate Jesus but you are not him, so still be yourself. Jesus would probably not be having the sort of party that everyone can’t come to, he is God. You can and are able to have a party with boundaries as you do not have endless supplies or space. No, it is not rude at all to limit the who can come or to tell someone that. Just say, this party is invite only, be kind and polite and say the same thing to everyone who doesnt have an invite, make sure it’s not some who sweet talk you get in and some dont, cos that would be unfair. It’s not rude at all. Christians ought to set boundaries on themselves and their generousity. I am sure Fr Mike explains it better than me in one of his videos on youtube called boundaries but that’s a whole other story. But in answer to your question, definitely dont lie. White lies are lies and lies are wrong, if you do it by mistake go to confession to get the grace to help you stop lying. You can of course be forgiven in mass for venial sins but if you think these aren’t sins, it might be worth confessing them so sanctifying grace will help you get a grip on them. Lies just build up one and then another and another until there are so many you can’t even tell what is real anymore. There is no situation when it is better to lie. Tell the truth or keep quiet. Read the Psalms or proverbs of you dont believe me.