Using a power strip in an old home that was build back in 1955

I'm not sure if this post is in the correct topic, but the title says it all. I live in a house that was built back in 1955 and this house has very few grounded outlets. I use power strips throughout the home and have never had a problem occur.

I plan to upgrade one power strip and my question is if I use a power strip like this one

https://www.amazon.com/SUPERDANNY-Protector-Outlets-Charging-Extension/dp/B08Z2ZKVXX/ref=sr_1_2_sspa?crid=3SBFJHLALO6QN&dib=eyJ2IjoiMSJ9.s0_HlP9WURLAXog0sGN2IYFWFyxz8mv_FlE-jBVldyFzMbcrgFRL4s7omCYnD5Tme9-N7eaM7TU6cSHLYvmCSKosQF2WDkWUCk3wcKYlkNkyj3aruYly_umT5WfWzdUCwVRgX2JMPDUc9Rs8xRlBnwjEybJuQfD7TVsKwe6XF_2GNQMXRQH35YxULNEytSE00WYIjIs23hTulfn45F3-aaYw2nOkns730GHg4Pb2vHw.1VcY2JcKKBP7V9hL1YgK-OAGfbzc_GHUvAOvOyqbJbE&dib_tag=se&keywords=power+strip+24+outlets%5C&qid=1726891536&sprefix=power+strip+24+outlets+%2Caps%2C293&sr=8-2-spons&sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&psc=1

Would I have a wiring fault as the outlet is not grounded?

This power strip doesn't have a yellow light built in.

https://www.amazon.com/TROND-Protector-Rotating-Extension-Essentials/dp/B0D1K55GPC/ref=sr_1_9?crid=3SBFJHLALO6QN&dib=eyJ2IjoiMSJ9.s0_HlP9WURLAXog0sGN2IYFWFyxz8mv_FlE-jBVldyFzMbcrgFRL4s7omCYnD5Tme9-N7eaM7TU6cSHLYvmCSKosQF2WDkWUCk3wcKYlkNkyj3aruYly_umT5WfWzdUCwVRgX2JMPDUc9Rs8xRlBnwjEybJuQfD7TVsKwe6XF_2GNQMXRQH35YxULNEytSE00WYIjIs23hTulfn45F3-aaYw2nOkns730GHg4Pb2vHw.1VcY2JcKKBP7V9hL1YgK-OAGfbzc_GHUvAOvOyqbJbE&dib_tag=se&keywords=power+strip+24+outlets%5C&qid=1726891536&sprefix=power+strip+24+outlets+%2Caps%2C293&sr=8-9

I'm not an expert in the field so that is why I'm asking.