I don't think WB would allow them to keep using the suicide squad at all, they would have to change the name which I am fine with, it is just adapting to an unpleasant situation, and if they never used the name then what would they be called "The Team" that is too generic for my tastes, so the secret six is a suitable replacement name, while still keeping the concept similar. It could be similar to the Bourne Trilogy with Treadstone and Blackbriar being the same program with a different name.
I understand . well the thing I'm saying here is WB are making things more difficult then they ever should be. all they have to do as I said in red before you and I started conversing is since dead shot was being used they should use other characters in suicid squad in his and bronz tiger's place that aren't that aren't being used for the movie current.
you saw the show star gate SG1 ? they had other teams SG1 to SG11 lead by other teams. Eventually, the teams grew to include over 12 SG teams and over time, there have been about 25 teams on Earth.
http://stargate.wikia.com/wiki/SG_team
it's why I had what I said with the list of characters in red above
I'm saying they should have multiple teams lead by others it was just dead shot team that died off with the exception of cupid. who they said will be coming back later
Dead shot had the is the designated flagship team and other's team are lead by others captain boomer rang had his own all they had to do is if daeth and certain characters were of the table was use others in that list I put up.
the secret six was another team that though was used by someone else(Lex Luthor) waller found them (they went to her actually)and she started using the same way too.
the thing to remember though is that the lyla from the comic's was a meta human which was focal to her code name as a Heroin, cause she was a pre cog
the one in the show has yet to become a meta human pretty much like laurel lance . the cold name won't make sense with Lyla with out the meta human ability and Marc Guggenheim has been weird when it comes to meta humans on this show(he's ok with cross overs showing flash, but doesn't want them in team arrow.) yet he weirdly ok with magic. .