No.
There's more to it than the hardware and the OS.
I've got ancient thinkpads (great machines), an old desktop, and an iPad Air1. I use a fair amount of linux here and there. I'm not wed to any platform for surfing, editing, writing, email, etc. I help support and maintain a lot of friends' machines that are Apple, and 100% of my interactions with the hardware and/or company have been successful, and relatively painless. Sometimes, even delightful. As a 40 year veteran of computers (back to punch cards), it's the best i've seen.
Still, hate it or not, Apple integration across a spectrum of devices is a big factor. I think only Google comes close, and they have some drawbacks.
So no... i would not consider a linux box to save a few bux. it's not what you pay, it's what it costs.
final note... linux updates too frequently for my tastes...an artifact of its dispersed development.