There are a couple of things that make this time different. As others have commented, that it seems that it just isn’t just Cohen’s word versus Trump’s word, but apparently there are other witnesses and more importantly an actual document trail of evidence.
Also different this time is that the Democrats control the House of Representatives. The House Intelligence Committee will be investigating this. If the Republicans were controlling the House, I imagine they would be looking for an angle to deflect against this news.
If Buzzfeeds sources are correct and that there is solid evidence then the Democrats will likely start the impeachment process. At this point, I don’t believe the Republican Senate will convict Trump, but just the process will give this evidence a lot of focus for the American people to see.