Right, health care obviously was a more pressing matter at the time but I would say the desire for impeachment also played a role, at least indirectly.
Anyway, public opinion regarding impeachment has shifted recently:
"In May 2019, a NBC/WSJ poll with Republican pollster Bill McInturff found that 17% thought enough evidence existed for the House to begin impeachment hearings, 32% wanted Congress to continue investigating and decide on impeachment later, and 48% said that the House should not pursue impeachment.[193][194] A Reuters/Ipsos poll taken in the same month found 45% of Americans supported impeachment, while 42% opposed.[195]
On June 16, 2019, Trump tweeted, “Almost 70% in new Poll say don’t impeach.”[196] According to NBC News, Trump was apparently referring to their poll, according to which twenty-seven percent of Americans believe that there is now sufficient evidence to begin impeachment hearings.[197] Later that day, Fox News released a poll showing 50% of registered voters supported Trump's impeachment, while 48% opposed impeachment.[198]"
https://en.wikipedia.org/wiki/Efforts_to_impeach_Donald_Trump#Public_opinion_polling_on_impeachment