Wowie, what a train wreck this has been so far. He said, she said. People quoting conflicting dictionary definitions at each other and whatnot. Thinking up convoluted arguments and getting all agitated at one another.
Well then. Let them have their fun. Meanwhile the rest of us, how about we'll just have a quick look at the reality of the language.
Here is the complete list of things that humanity has managed to fulfill so far according to the actual usage stats from the British National Corpus (BNC):
RESPONSIBILITIES 3
REQUIREMENTS 3
PROMISES 3
ROLE 3
PROMISE 2
FUNCTION 2
COMMITMENTS 2
ROLES 2
CONDITIONS 2
WISH 1
WILL 1
TASK 1
PURPOSES 1
DREAMS 1
DEMANDS 1
DEMAND 1
CRITERIA 1
POSITION 1
PLAN 1
OBLIGATIONS 1
NEED 1
IDEA 1
And here is an even more generous list of the top 200 nouns that ever follow fulfill in the entire Corpus of Contemporary American English (COCA):
PROMISE 209
DREAM 124
MISSION 112
OBLIGATIONS 104
NEEDS 95
ROLE 89
PROMISES 85
REQUIREMENTS 77
DUTIES 74
DREAMS 64
EXPECTATIONS 63
POTENTIAL 63
OBLIGATION 62
RESPONSIBILITIES 61
ROLES 50
NEED 45
DESTINY 45
COMMITMENTS 45
RESPONSIBILITY 44
DUTY 38
COMMITMENT 35
FUNCTION 32
GOALS 32
PURPOSE 32
MANDATE 31
DESIRES 27
REQUIREMENT 27
OBJECTIVES 27
VISION 27
GOAL 26
FUNCTIONS 25
CONTRACT 25
PART 23
DEMANDS 22
CONDITIONS 21
PROPHECY 21
PURPOSES 19
DESIRE 18
LIFE 17
AMBITIONS 15
WISHES 15
PLEDGE 15
TASK 14
REQUEST 14
OBJECTIVE 13
CRITERIA 13
HOPES 13
FANTASIES 12
MISSIONS 12
TASKS 12
TERMS 11
ORDERS 11
REQUESTS 11
FANTASY 11
COURSE 11
ASPIRATIONS 11
CONTRACTS 10
FATHER 10
OATH 10
WISH 10
VOW 10
STATE 9
PRESIDENT 9
DEMAND 9
AMBITION 9
LAW 8
LEADERSHIP 8
PLEDGES 8
ORDER 8
MOTHER 7
AGENDA 7
COMMUNITY 7
CHILDHOOD 7
AGREEMENT 6
ASSIGNMENT 6
INFORMATION 6
FAMILY 6
PROPHECIES 6
QUOTAS 6
TEACHING 6
SIDE 6
WILL 6
TRUST 6
SECURITY 5
RIGHTS 5
PLANS 5
PRODUCTION 5
PROFESSION 5
NUMBER 5
EXPECTATION 5
END 5
IDEALS 5
GRADUATION 5
LONGING 5
CHARGE 5
COMMANDMENT 5
COMMISSIONS 5
DEFINITION 5
CONDITION 5
CALLING 4
CHARTER 4
CAREER 4
AGENCY 4
AGREEMENTS 4
MANDATES 4
LIVES 4
LEGACY 4
HEART 4
HOPE 4
DESTINIES 4
EDUCATION 4
PARTY 4
PEOPLE 4
READER 4
PUBLIC 4
PLAN 4
SCHOOL 4
SCRIPTURE 4
SENSE 4
VOWS 4
VOCATION 4
VISIONS 3
WHIMS 3
RIGHT 3
TREATY 3
WORK 3
SCIENCE 3
TEACHER 3
SPONSOR 3
STANDARD 3
STANDARDS 3
STUDENT 3
STUDENTS 3
RANGE 3
PARENTS 3
MANAGEMENT 3
MR 3
ELECTION 3
ENERGY 3
GENDER 3
IDEAL 3
HEALTH 3
GUIDELINES 3
INTENTION 3
JOB 3
BUSINESS 3
CHILD 3
COMPANY 3
COMMISSION 3
COMMANDS 3
CHILDREN 3
CHURCH 3
CORE 3
CRITERION 3
DAY 3
DEGREE 3
CRIME 3
DEAL 3
DESIGN 2
DEATHBED 2
DEBT 2
CUSTOMER 2
CONSUMER 2
CITIZENSHIP 2
CITY 2
CLASS 2
CHOICE 2
COMMANDMENTS 2
CLIENT 2
COLLEGE 2
COMMAND 2
CHARACTERISTICS 2
BULK 2
ASSESSMENT 2
BODY 2
AIM 2
AIMS 2
ACHIEVEMENT 2
JUDGMENT 2
INTENTIONS 2
INTEREST 2
INTERESTS 2
KIND 2
INTENT 2
LICENSE 2
LOAN 2
LOT 2
HISTORY 2
HUMANITY 2
IMAGE 2
IMPERATIVE 2
INDIVIDUAL 2
INJUNCTION 2
GALA 2
GOVERNANCE 2
GOVERNMENT 2
FUNCTIONALITY 2
EXECUTIVE 2
POWERS 1
Note that this list includes not just direct objects of the verb fulfill, but just any nouns that follow it, i.e. also noun modifiers of its actual objects. You can't really fulfill a mister or a deathbed or a college or a mother. But you can fulfill Mr Smith's requirements, or a deathbed wish, or a college's needs, or your mother's dream. That's how all these weird hits end up on the list. I was thinking about cleaning these up, and might still do that as time permits, but in the mean time they actually help drive home the following point:
The word "value" is nowhere to be seen.
So not only has nobody ever fulfilled a value. Nobody has ever so much as fulfilled a value requirement or a value goal or a value need or a value anything.
In conclusion, what you have is not English as she is spoke or wrote. You can't use it. If you did, you might actually be the very first person, on either side of the pond, to have ever done so.