I have looked into this some.
Here is what I have concluded. They are both good, but different.
Per your video the Founder, Mr Piazza, learned his craft from Jeff Cooper who founded Gunsite and taught there for many years.
Front Sight is less expensive. Front Sight has been a lot better about getting it's name out there and getting average joe to attend. Front Sight trains a lot more people.
However, Front Sight trains a lot more people who are average joes. This means often the first 2 days are VERY basic, and larger class sizes mean a bit less instructor time per student. As mentioned, with lower ammo counts they spend a lot more classroom time and a lot less trigger time.
Also, Front Sight is a 'Tent City' and has been in trouble with local authorities for building and fire code simply because what they termed as 'temporary' has been that way for years without being made code compliant. It is done as a cost saving measure. Take from that what you will.
Front Sight offers lifetime memberships at various levels that entitle the member to different amounts of free training for different amounts of guests. All levels of membership give said member 10 certificates with a 'face value' of $1000 good for 4 days of training ( 1 person 4 days, 2 people 2 days) so 'in theory' a basic $10,000 membership is 'free' Truth is, these certificates re-sell for about $100-150 only. Front Sight also donates these certificates to charity auctions etc, claiming for tax purposes a donation of $1000.
Front Sight had a level of membership designed around owning a home at a Front Sight community. This never came to fruitition and eventually Front Sight was taken to court, but settled. Front Sight said they did nothing wrong but paid $800,000 for the defendant's lawyer fees and then created a $8 MILLION fund which re-embursed those of different levels of memberships different amounts.
Mr Piazza has been associated with Scientology. While his religion is not terribly relevant, and further he claims he is no longer associated with Scientology, I see a lot of that 'style' of people manipulation in his practices (he tends to threaten to sue any average joe that posts a bad review of his classes or himself, and such 'tricks' as putting up a 'temporary' shelter to avoid having to put in fire extinguishers, smoke detectors, and proper sewer treatments, then leaving them in place for 10 years) However, the vast majority of instructors seem quite seperate from this.
I'd strongly suggest getting your 'feet wet' by purchasing a pair of training certificates for front sight. If you want to go with a friend or spouse GET 2 CERTIFICATES the good training seems to happen at day 3...after most noobs who are sharing a single certificate have gone home. (you can often find yourself in class with a person who never fired a gun before...as frustrating as I imagine that can be, I still must salute the first time gun owners taking the opportunity to economically get a good foundation)
commit to NOT buying any sort of lifetime membership during your stay. Commit to waiting 2 weeks or more AFTER your training and then deciding if you want any of their lifetime memberships.
It is my opinion that the best option is to take the 4 day 'certificate' training at front sight...then go to Gunsite for more extensive training.
I'd also throw in Thunder Ranch for your consideration. It is right up there with Gunsite as being top notch.
Also, there are probably a few local 'firearms academies' in your home state that are equal to Front Sight who, like Front Sight, are taught by a person who went and got extensive training at gunsite and/or Thunder Ranch or SIGARMS Academy etc etc.