Failed to speed up the execution process of a script using concurrent.futures

Question

I'm trying to implement concurrent.futures or something similar within the following script to make the execution faster. However, When I compare the two scripts, I see no change in speed. What possible change should I bring about to achieve the same?

Original script:

import requests
from bs4 import BeautifulSoup


link = 'https://ldc.lloyds.com/market-directory/results'

params = {
    'cobc': '','cob': '','loc': '','ltti': '',
    'bro': '0','cov': '1','man': '0','mem': '0',
    'omc': '0','run': '0','name': '','mode':' cov',
    'c_page': 1 #---------------->unknown number of pages to traverse
}

def get_content(s,link,params):
    while True:
        r = s.get(link,params=params)
        soup = BeautifulSoup(r.text,"lxml")
        if not soup.select(".marketing-directories-results .contact-details > h2"): 
            return

        for item in soup.select(".marketing-directories-results .contact-details > h2"):
            yield item.text

        params['c_page']+=1

if __name__ == '__main__':
    with requests.Session() as s:
        s.headers['User-Agent'] = 'Mozilla/5.0 (Windows NT 6.1) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/88.0.4324.104 Safari/537.36'
        for item in get_content(s,link,params):
            print(item)

When I implement concurrent.futures within the script, I don't see any speed related improvement in the execution process:

import requests
from bs4 import BeautifulSoup
import concurrent.futures as futures

link = 'https://ldc.lloyds.com/market-directory/results'

params = {
    'cobc': '','cob': '','loc': '','ltti': '',
    'bro': '0','cov': '1','man': '0','mem': '0',
    'omc': '0','run': '0','name': '','mode':' cov',
    'c_page': 1  #---------------->unknown number of pages to traverse
}

def get_content(s,link,params):

    while True:
        item_list = []
        r = s.get(link,params=params)
        soup = BeautifulSoup(r.text,"lxml")
        if not soup.select(".marketing-directories-results .contact-details > h2"): 
            return

        for item in soup.select(".marketing-directories-results .contact-details > h2"):
            print(item.text)

        params['c_page']+=1
        

if __name__ == '__main__':
    with requests.Session() as s:
        s.headers['User-Agent'] = 'Mozilla/5.0 (Windows NT 6.1) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/88.0.4324.104 Safari/537.36'

        with futures.ThreadPoolExecutor(max_workers=5) as executor:
            future_to_url = {executor.submit(get_content, s, url, params): url for url in [link]}
            futures.as_completed(future_to_url)

How can I implement concurrent.futures or something similar to speed the execution up?