looks like you are actually using single column format in your link so you need to modify products.tpl not products_t.tpl (but i'd add it to both).
This is from my 4.0.18 (w/o DSEFU) so the code quotes might be slightly different.
customer/products.tpl
look for the following (do a search for product_thumbnail), which is your thumbnail in the listing:
Code:
{if $active_modules.Special_Offers ne "" and $products[product].have_offers}
{include file="modules/Special_Offers/customer/product_offer_thumb.tpl" product=$products[product]}
{$lng.lbl_see_details}
{else}
<A href="product.php?productid={$products[product].productid}&cat={$cat}&page={$navigation_page}{if $featured eq 'Y'}&featured{/if}">{include file="product_thumbnail.tpl" productid=$products[product].productid image_x=$config.Appearance.thumbnail_width product=$products[product].product tmbn_url=$products[product].tmbn_url}
{$lng.lbl_see_details}</A>
{/if}
add after (the free shipping part):
Code:
{if $products[product].free_shipping eq "Y"} [img]{$ImagesDir}/freeshipping.gif[/img] {/if}
so the final bit should look similar to this:
Code:
{if $active_modules.Special_Offers ne "" and $products[product].have_offers}
{include file="modules/Special_Offers/customer/product_offer_thumb.tpl" product=$products[product]}
{$lng.lbl_see_details}
{else}
<A href="product.php?productid={$products[product].productid}&cat={$cat}&page={$navigation_page}{if $featured eq 'Y'}&featured{/if}">{include file="product_thumbnail.tpl" productid=$products[product].productid image_x=$config.Appearance.thumbnail_width product=$products[product].product tmbn_url=$products[product].tmbn_url}
{$lng.lbl_see_details}</A>
{/if}
{* -------------------Free shipping ------------------*}
{if $products[product].free_shipping eq "Y"} [img]{$ImagesDir}/freeshipping.gif[/img] {/if}
{* -------------------Free shipping ------------------*}
{if $active_modules.Feature_Comparison ne '' && $products[product].fclassid > 0 && $printable ne 'Y'}