Its quite complicated.
You need to understand the motivating factors for each of the countries, what they want and what they hope to get. Thats very complicated and in many cases (such as the US) what they really want is not what they may say they want.
GATS - parts of GATS have been in negotiations for 20 years off and on and those negotiations have not concluded, so in a very real sense it has not begun to be implemented yet.
Trade deals are about profits, increasing profits, not creating jobs, if they create jobs those jobs may not be beneficial jobs to the people of a country, they may go to others, generally businesses prefer to do whatever it is they do at the lowest cost, if they can use a treaty to get three or four workers for what one used to cost before it, they often will do that. There is no such concept as a living wage in neoliberalism. Wages are whatever the market determined, the lower the better. Almost everything said about them is put forward in a way which is deliberately deceptive and calculated to reassure the future losers that all is fine and not to worry. Thats part of the game. Thats the norm, not the exception. they will say anything to get whateer done that starts the wheels in motion and then they go into autopilot mode and cant be stopped. that change was fast track, so its likely we're really screwed - because of the GATS having been signed in the 90s and likely not needing much additional legislative involvement as its already been signed in the 90s by President Clinton.
You should read some of the literature on GATS's "movement of natural persons" provisions. Which are called "Mode Four" because its the Fourth Mode of Supply.
Also read up on the Doha Development Agenda.
Also on the goals of services liberlisation generally. Basically its framed in terms of higher "efficiency" More money made for the owners of the markets means higher profits, more value extracted from the supply chains. (less wages paid, more profits)
In important aspects GATS is positive list, TiSA is negative list (opt out, in by default) So TiSA may bring bigger more radical changes much more so than GATS.
Lots of service sectors are subject to "standstill" so they are in a sense grandfathered in and if nothing is changed there is nothing t ratchet tighter - but the deals are designed to turn any change into more liberalisation (more disinvestment/privatization/globalization) Laws restricting trade of any kinds, any kind of regulation, law, anything that tells businesses they need to do something or not do something they want to do is a "non conforming measure" so forbidden or challengeable if challenged- Things like licensing by country, are supposed to be harmonized - the goal is for corporations to draw their workforces from wherever it pleases them, and do whatever they want as far as payment as lng as the employee consents. Google "Lochner Era" - for what that means legally.
they can avoid privatization if no money is involved at all ever. So Canada's health care has stayed relatively intact while the UK's is being subjected to the death of a thousand cuts and is not long for this world if the Cameron and Obama Administrations get their ways. Clinton is likely to be the same as Obama or her husband, who literally is the single human being in the world most associated with neoliberalism, I think.