No they wont straight away but you can make them work again, steam is easy just point it to where the games are.
Others origin ect i usually initiate the download to a new folder on the other drive then close the program then cut and paste over the files to the new folder, then reopen whatever program is downloading the games, it starts the resuming download but quickly zips to 100% and your good to go. i have read you can just point the installer to the location of the games and it should just do the resuming bit but have never tested it
My last origin move, seemed to work just pointing the library to where the games were - only had 2 installed on it but those two although it said downloading, finalised in about a minute. Hopefully that means Origin have sorted themselves out. Epic games launcher is the only "awkward" one I use now. Ubi/Steam/EA all seem OK.