Oh, then it changes things. I read that recently new owners are not getting priority.
People of the internet (not all but many) don't like owners jumping in line, so many will post a "NO" which is not true. When people post and ask "as an owner can I transfer my spot in line to someone else" they say no because technically this is true... an OWNER may buy a new Model 3 on his or her own account, they can not transfer a reservation. But they may also order a car for a close family member on their account as well and it's very easy and not complicated to do it in the other persons name (for a wife, or child for example). But you would have to be close to the person because it requires billing info, personal info, credit card etc. Oh and $3,500... so yeah.. there's that.
As an OWNER you get priority, it is on the FAQ's on Tesla's own website.
Model 3 Reservations FAQ it is also in the EMAIL you get after you "reserve" (which is refundable btw). It legit says in the email you get priority as a thank you for being a model S/X owner. Tesla doesn't give specific dates on anything, so if their is a factory shut down for a few days, or a switch to Canada for example, it can slow US invites and config's down.
For my close family member it took about a month from March to get the invite to configure in April. Now waiting on VIN. I know some people got an invite to configure after a WEEK or TWO. I believe this took a month because of a factory shut down that happened and then invites went to Canadians. So that pushed it back further then normal but I read a lot on the forums and by just reading other owners posting I had figured it would take 1 week to 4 weeks and it was a good guess. So my guess still stands, 1 week to 1 month to get an invite as a current owner. Things change every day with Tesla, they are not afraid to change how they do things but the whole owner priority thing has not changed since the beginning. If you buy a model 3 it doesn't count, only X and S.
Where people live also does sometimes seem to effect it. thats another small meta fact you pick up when reading forum posts. Virginia has been getting 3's at a slow trickle, which I know just from reading.
