I think Hondas 'standard' international warranty is 3 years. A 5 year warranty is an 'extra which either you pay for separately , or Honda decide to include free as part of a car or finance sales promotion.
The extra 2 years involves extra risk of warranty claims .The extra costs for more services and longer breakdown coveris presumably factored into the cost to you ,or Honda.
My 5 year warranty papers bear Honda logos ,but seems to be administered by an independent warranty provider company. Or put simply Honda insure their risk. The independent company administer claims ,and like all insurance type companies seek to minimise claims that may not be eligible. This saves Honda having to employ their own administration staff and spreads their risk. The downside is ,like insurance companies, the more claims that can be rejected,or servicing not taken up within the eligible time /mileage periods the greater the profits for the warranty provider - and Honda.
The warranty company (presumably) also provide breakdown cover via one of the big recovery networks such as AA, RAC or Green flag. With access to their 24 hour call centres, network of recovery vehicles and recovery agents, and reciprocal deals with foreign breakdown clubs/services. They may have a dedicated Honda only phone number to help identify who you are, but it will be answered by AA (or whoever) call handlers.
Many businesses, car insurance companies etc negotiate a 'fleet' deal with the RAC, AA etc, with the cost per eligible vehicle much less than taking out individual private membership. The risk of fairly new ,well serviced Honda vehicles breaking down is less than individual older cars.
I may be wrong on some of the details and might be stating the obvious .And it may work differently outside the UK.