I work for a company where our users are generally older and less computer efficient ( based on user studies). Is it good UX practice to tailor the website experience taking that fact into account (larger fonts, more informative walkthroughs, etc). or should a UX be "good UX" universally and be focused for all audiences
YES, You are referring to accessibility. It's about inclusively providing a good UX for all audiences. This includes not just older people but also people with disabilities and those with solver internet connections.
Accessibility is the practice of making your websites usable by as many people as possible. We traditionally think of this as being about people with disabilities, but the practice of making sites accessible also benefits other groups such as those using mobile devices, or those with slow network connections. You might also think of accessibility as treating everyone the same, and giving them equal opportunities, no matter what their ability or circumstances. Just as it is wrong to exclude someone from a physical building because they are in a wheelchair (modern public buildings generally have wheelchair ramps or elevators), it is also not right to exclude someone from a website because they have a visual impairment. We are all different, but we are all human, and therefore have the same human rights. Accessibility is the right thing to do. Providing accessible sites is part of the law in some countries, which can open up some significant markets that otherwise would not be able to use your services or buy your products.