wish vs hope

"Hope" sounds more appropriate to my ears, though it is difficult to explain why. Partly it is because a "wish" implies a desire for something that is not yet attained, whereas in this sentence the desire--health and enjoyment--is already attained and the speaker wants it to continue. But it is a close call. Any native speaker would understand the sentence regardless of "wish" or "hope."

As I am in my twilight years, I wish that I will remain healthy and spend the rest of my life doing what I enjoy doing.

'hope' would be the natural choice because 'hope' is used to express things that are more within the realm of reality. I will say, without total conviction and subject to other examples being brought froward, that your example is ungrammatical, Ms Tan.

'wish' is used for those things that are at a stage of complete unreality,

1) I wish I had a million dollars

2) *I hope I had a million dollars*

Number 2 is ungrammatical for this intended meaning. It's possible for other scenarios.

Does 'wish' always express completely counterfactual situations?

It seems that it has to as a 'wish' is something that is viewed as unlikely to ever come true. If it's just "unlikely" that leaves the possibility open that it could become true but does that matter to the moment of speaking?

I wish he wouldn't do that vs I hope he doesn't do that

I wish I was in Dixie vs I hope that I'm in Dixie soon/next week/...

At any rate, Ms Tan, we use 'hope' for the reality side of the spectrum and 'wish' for the irrealis.

Many thanks, Shapeless and JTT.

Hope= for real conditions
Wish= imaginary, or less realistic.

HOPE (SVO sentence pattern) vs WISH (SVIODO sentence pattern)
I hope [that you are happy] vs. I wish you happiness.
i hope [that you are happy soon] it's still correct.

It's awkward to use future tense "will". Hope and Wish is only for present and past tenses. There's already a future sense when you say hope or wish.