Respectfully I disagree. "The Banks" (as they keep being referred to here) expect card-present transactions in the UK to use the chip, exceptions being made for when there is no chip (e.g. American cards, Azure cards) or in some cases when the chip isn't functioning. I very much doubt I'd obtain a merchant agreement unless I agreed to have chip & PIN equipment, and if I didn't use it there would be no protection should a chargeback occur.
I'd be interested to know how you consider accepting Visa (card present) and being expected to use Chip (& PIN/Sign) as not part and parcel...
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I think your problem at the festival could have been a different one. As I understand it, and as proven in this thread I can be wrong, those 3G/4G chip and PIN machines will normally seek online authorisation at all times - if they have no signal, they wont accept anything.
I don't know where you're getting all this from, but whilst some of what you post is correct, a lot is are so far off piste that I don't know where to start.
A merchant is not obliged to use chip & PIN equipment. (For example, a merchant all of whose sales are cardholder not present, a merchant who only deals with trusted customers of whose identity and entitlement to use their cards he is certain, or a merchant who only accepts card payments by contactless.) There are also several accommodations available for very small merchants.
Each individual merchant agreement will specify the amount of a transaction which that merchant might accept without seeking online authorisation. This is not "part & parcel of accepting Visa cards".
Each individual chip card will specify the amount of a transaction, or a cumulative amount, which can be accepted without seeking online authorisation.
Either of the above two amounts may be zero, or they may not. The more restrictive amount will apply.
I repeat my entreaty to stop posting in an authoritative manner information on a topic about which you have made it clear you are not knowledgeable.