Adkins was dismissed at Southampton last month despite back-to-back promotions and steering the club away from the relegation zone in their first season back in the Barclays Premier League.
McDermott was axed from Reading after Villa's 2-1 win over the Royals last weekend, despite having gained promotion from the npower Championship last year.
Lambert feels both men had produced good enough results on the pitch to stay in their jobs, but believes other factors have been taken into consideration.
"You never like to see anyone lose their job. People used to say it's a results business. It's not really anymore," said Lambert.
"If people don't like your face, or like what you are doing...
"Brian took Reading up, made them all the money and then loses his job.
"If you are telling me someone gets you out of the Championship and makes your club millions and then seven months later he loses his job, it doesn't bode well.
"It's the same with Nigel at Southampton. It doesn't really have to be based on results anymore.
"They are in an absolutely healthier position than they were two years and he has contributed a massive part to that."
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