Blood samples in cell lysis
The exact answer to this greatly depends on the lysis buffer used, what you are lysing the cells for (DNA/RNA isolation, protein analysis, etc.) and how you intend to quantify your samples.
https://www.sigmaaldrich.com/content/dam/sigma-aldrich/docs/Roche/Bulletin/1/11814389001bul.pdf
This is a link to a standard red blood cell lysis buffer and handling recommendations. Note the following:

Lysis buffer must be stored at low temps prior to use
Use blood stored in EDTA, citrate or heparin anticoagulants
To obtain RNA use fresh blood only
For best results in DNA applications, use fresh blood or blood stored for less than 3 days.

Here is another paper describing the effects on DNA/RNA extracted from blood in ranging temperatures and storage methods
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0184692