Yes, it's horrible that employees of Amazon, with their titles, the Amazon log and @Amazon as their usernames are trying to hide the fact that their Amazon employees.
5 minutes of research would tell you this isn't a bad look at all. It's public and transparent PR.
The part that looks bad is not the approach to disclosure. It's the part where Amazon is responding to well-sourced reports of inadequate working conditions by coercing counter-anecdata from other staff, rather than denying or refuting the reports.
Perhaps its time to refute these tweets with those sources then? Have a debate with them instead of just accepting one side of the equation.
You expect people to "have a debate" with a paid representative barging into their conversations? One whose paycheck depends on sticking to Amazon's side of the issues?
Seems they are taking a similar approach as they do for negative reviews.
The really bad look is that they are willing to pay money to sling "PR" but aren't willing to spend that money on even cheaper measures that could actually help the root problem like plopping down more watercoolers, fans and vents in the walls, or even dividing it into more breaks. That says "We are doing wrong, know it and not only don't care but we actively prefer it that way."