Yes, they clearly use the headlines which will reflect their own views. "Just 25% of the British public think Brexit is going well".
Although that is clearly less than the alternate headline "Just 38% think Brexit is going badly".

By ignoring all those who say either "not going well nor badly" or "Don't know" any other option is never going to manage to make a big headway.

It's surprising the correlation between Conservative/Leave figures and Labour/Remain figures on the basis that this wasn't ever supposed to be a party political decision.