Getting an ATP on your own is in no way the same as "PFT"... It is just another rating to add to your resume... Just like you paid for your Private Certificate and your Commercial Certificate... I would HIGHLY recommend getting your ATP ASAP... It looks good and makes your more competitive...
Now if the company you applied to makes you pay them for your initial training (or else they won't hire you) THAT is pay for training (PFT)... A lot of the Pay-for-Training in the early 90's were companies who made you pay $10,000 up front to cover SIC Training typically in a Turbo-Prop aircraft (Usually a Beech 1900 or the like)... It was a total scam and should have never happened, BUT they did it, and unfortunately there were a lot of guys who paid to do this.... It is one of the worst things for our industry, NEVER do PFT (also known as Buy-A-Job)... The worst part is these guys were paying for SIC training in a 1900 (which is nothing more than a big King Air) and then they worked at F/O's for the company making about $13,000 a year... what a joke!
I refused to go the PFT route myself... I stayed as a CFI a little longer and went directly to a charter operator who gave me training in a King Air 100 and Lear 35 (THEY paid 100% for the training, no training contract or anything) and they started me at $25,000 per year plus overtime... I made about $31,000 my first year... At that time Beech 1900 Captains were making about $20,000, and it took 2-3 years for them to upgrade!
I hope this helps.... Go get your ATP and add it to your resume... if you play your cards right it will be the last money of your own you ever spend on training for yourself!