The blue glow can be natural if the plate voltage is very high, usually above 500VDC+ - for example, all my 807 power tubes glow blue with 700 VDC supply, and I am getting an average of 10,000hrs lifespan out of them. In all those cases when it's natural, it happens from the get go, the tubes have the blue glow right away or develop it during their first few hours of life. Sometimes it can fade a little over time, but it does not get more prominent over time.
However, if you have been listening to a tube for 100s of hours and then it turns blue out of nowhere, that is likely a danger sign.