Do Arahants experience non-neutral mental vedana? In terms of the effects of the attainment of arahantship over the arising of feelings (vedana):

Do Arahants experience the arising of non-neutral (pleasure or displeasure) mental feelings? 

According to Sallatha Sutta, an Arahant will still experience physical feelings of pleasure and pain, but he will just see those feelings as feelings. 

What does this mean?

If physical pleasure/pain arises, he will not experience a mental pleasure/pain? Or he just feel it without the arising of aversion, craving and ignorance?

What happens in the case of the practice of Jhana? Doesn't that count as mental pleasure?

If mental pleasure and pain are eradicate, does this mean that every mental phenomena will be felt as a neutral phenomena?

For example:
If a non-arahant person feels an unpleasent feeling when seeing a corpse or when thinking about a corpse, will the presence of such phenomenon (the corpse, or the idea of a corpse) will still give rise to an unpleaseant feeling after attaining arahantship?

If the training under the Noble Eightfold Path helps to change the way the noble one feels the world, does this mean that everything feels neutrally after attaining Nibbana?

EDIT: to make this clearer, I'll be more specific.

I'm trying to fit what has been said above with what I read and interpret from Sallatha Sutta.

On one side, I see that physical painful stimuli does not give rise to mental feeling.
On the other hand, in MN 152, we see that a noble one seem to have some tendencies and inclinations toward some preferences over others, but he reacts with equanimity to the arising of liking and disliking.

So, does the training changes all non-neutral feeling to neutral feelings, or changes the way the noble one responds to non-neutral feelings?

If an arahant-to-be had a preference for pizza over tacos, will that remain the same after Nibbāna? 

What do the suttas tell us about this or your experience tell us about this?

Thanks in advance for your time!

Kind regards!
From MN121, where the Buddha discusses his current practice with Ananda, we have:


  They understand: ‘This field of perception is empty of the perception of the defilements of sensuality, desire to be reborn, and ignorance.
  
  There is only this that is not emptiness, namely that associated with the six sense fields dependent on this body and conditioned by life.’


In other words, the Buddha was fully aware of his present circumstances yet not burdened by craving, aversion or delusion. A meal would be a meal. A mosquito bite would be a mosquito bite. There would be no delusions that wanting more or wanting less would be of any value.

Note that "conditioned by life" does allow for things like avoiding peanuts if one is allergic or taking medicines such as insulin as needed. It also allows for cultural food preferences, since those are often tied to genetics. For example, some cultures tend towards lactose intolerance while others rely on dairy products and that "preference" is largely dictated by genetics. However, I find it really difficult to imagine any arahant expressing a preference for a frappuccino over a latte.