I am curious like several others as to whether or not it is a Tiger or a clone. At the end of the day, if it would pass a TAC inspection, I would then say the question really comes down to the quality of repairs being acceptable to you. It appears that on that basis alone they are not, and it is your money.
However, if it is a tiger, at some price, as is, it becomes an acceptable car, IMHO. The rear shelf is repair is hidden. Were it me, I would be moving the fuel pump to the Alpine spare wheel cavity a la the Mark II anyway, so the lack of an access door becomes moot. If the trunk repairs leave it function and sound, that is ultimately what is important on a bottom line basis. It is not unusual for wheel arches to be flared on personalized Tigers, so if done well, that would not make it an oddity at any gathering. As a regular driver car, they might even get the owner some compliments.
The major questions I would then have relate to structural integrity. What other rust or accident damage has been fixed, if there was any, and how well was it done? It is very curious that the rear shelf and trunk had to be repaired. Why? That then points to other associated areas that may have needed or are still in need of repair. It is unclear if your local Tiger guys gave any opinions on the undercarriage condition or quality of any repairs there. You are right to be concerned, if the seller's information given however well intentioned is factually wrong. One always is concerned about what neither you or he knows.
I admit to being a bit philosophical today!
Cheers, Gene