A321 Captain reported having to declare minimum fuel after the flight was delayed due to multiple radar vectors and holding. The flight continued to the original destination and landed.

Narrative

ZZZ1 to ZZZ. A321. XX years in the plane with a great First Officer (FO) who was flying and has YY years in the plane. Nice VFR weather across most of the country. The fun began when we started receiving radar vectors for spacing about 700 miles out. Wind forced ZZZ to use Runway XX for most arrivals. We were given a hold at ZZZ2 at FL310 and an Expect Further Clearance (EFC) of 1 hour. We inquired with ATC as to the number of aircraft ahead of us. There were aprox. 14 in his sector with holding down the line at ZZZZZ. It was hard to develop a realistic picture gut it was not looking good. We requested a ZZZ3 Alternate with Dispatch and upon receiving our time and fuel burn to ZZZ3 realized we would have to leave the hold right away. With all the radar vectors we were already tight on fuel. We declared min fuel with ATC for destination ZZZ and asked to proceed to ZZZ3. Although we did not declare min fuel for ZZZ3 as they had lighter winds and 2 runways into the wind as opposed to only one short runway; RWY XX at ZZZ. We notified Passengers and dispatch. Our radar vectors took us over ZZZ and soon after we checked in with a new approach controller for ZZZ3 who advised us that our destination had been changed to ZZZ. I had never had this happen to me in 30 years of flying so I thought that the controllers new that we were Minimum fuel for ZZZ and that they thought they could get us into ZZZ faster than into ZZZ3. And this may have been the case. So we began our radar vectors for ZZZ and began to set up for the approach. The controller told us that we could expect about 50 miles of vectors and if that was going to work for us. After a few minutes of estimating and calculating we felt that our only course of action was to continue with ZZZ as we had already been vectored to follow some 20 aircraft in a long line to ZZZ.About 6 minutes prior to landing we priority handling for fuel with ATC but at this point there was really nothing the controller could do for us but advise the AC ahead to exit the runway without delay and to roll the trucks.I'm guessing that our dispatcher asked ATC for help in getting us into ZZZ but I never received confirmation of this. I'm not sure that the ZZZ3 approach controller realized that we were Min Fuel for ZZZ as we had made no mention of it to them. Both my FO and I realize the XXmin and YYmin MIN and Emergency Fuel declaration as required by our SOP but using past experience with both airports we declared both just a bit early. Perhaps by about 5 to 10 minutes of flying time.In retrospect we should have asked more questions after the change of Destination. The controllers were very busy and because I have always been in good hands and VFR as well; we accepted the 'New Destination' as.... well; these guys have the big picture. Should have just stuck with our original plan to divert to ZZZ3. The controllers did a great job with the amount of traffic that was in the air. It was nuts and the picture on the ground was the same in ZZZ. Lots of aircraft on the ground trying to get out of each other's way. The next day I received a phone call from a gentleman by the name of Person X. I'm not sure of his title but he was perhaps a Tower Chief at ZZZ3 and he asked me what happened. I basically told him the story above. He thanked me for my time and that he was trying to see if they could have done a better job and where we were coming from and if I was confident in my declarations of Min and Emer Fuel. I told him that I was...and that was it.