Can I route CAT5 through a toilet?

I promise you this is a legitimate question. I have been trying to find an easy path to route networking from my basement where the network gear is to the second floor of my house. Problem is I cannot find a clear route - except for one of the drains for the second floor toilets. It’s basically a straight stack directly upstairs.

How realistic is it to route the cable up through the plumping and then out of the toilet upstairs? Obviously I would not have the cable exit the bowl that would not make much sense but I think I could catch it the other end, and then route it upstairs. I would just need to drill an entry hole for the cable in the drain downstairs and then just push it up.

I could probably convince my wife we don’t need the spare bathroom upstairs so it’s not like the toilet will be used much or at least restrict it to non solids use to not cause issues.

How realistic is this? I don’t think a toilet flush would cause too much pressure on the entry hole downstairs, I’d seal it too with silicone or something. I’m really convinced this is doable.

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