The longer the DNA is at high temperature, more degradation will occur. The troubleshooting guide from New England Biolabs has a useful summary. https://www.neb.com/tools-and-resources/troubleshooting-guides/troubleshooting-guide-for-t3010

• DNA always degrade in any extraction process, just the degree of degradation differs with different protocols
• If the DNA degrades or not, the answer depends on the downstream analysis you wanted to perform. If it is a general application like PCR based analysis, the DNA would be just fine but if you wanted to go for some special analysis like SNP analysis or similar then you should not use this DNA
• 56 °C is not a high temperature for significant DNA degradation. The DNA degradation mostly occurs by the DNAases or dry heat for a longer period of time and temperature far greater than practical temperatures in a normal lab room temperature. And during lysis step, your samples are in lysis buffer, so there should not be much degradation in the step itself.
• But the overall conclusion is - the answer depends on what you want to do with that DNA.

it depends on what you're going to run after, but DNA, RNA and after proteins will be degradated with poor quality at the end.

if your goal is to extract FFPE from the sample, it's OK but the sample itself will start consuming.

fred

If your downstream analysis is not quantitative or requiring high quality of DNA, you probably keep the tissue lysis in the fridge or even at room temp. The kit reagents (lysis buffer) likely contain something to prevent DNAse activation.