Products as dropdown list in signup

Elsewhere in this forum I see the following code to change the products from a radio-button select to a dropdown list in signup.html:

<select name=product_id size=1>
{foreach from=$products item=p}
<option value="{$p.product_id}"
{if $p.product_id == $smarty.request.product_id }selected{/if}>
{$p.title} ({if $p.price > 0 }{$config.currency|default:"$"}{$p.price}{else}free{/if})
</option>
{/foreach}
</select>

I have used the above code successfully but it has to replace more recent code in signup.html which includes the possibility of purchasing multiple products, as in:

{foreach from=$products item=p}
{if count($products)>1}
{if $config.select_multiple_products}
<input type="checkbox" id="product{$p.product_id}" name="product_id[]" value="{$p.product_id|escape}"
{if in_array($p.product_id, (array)$smarty.request.product_id)}checked="checked"{/if}
/>
{else}
<input type="radio" id="product{$p.product_id}" name="product_id" value="{$p.product_id|escape}"
{if $p.product_id == $smarty.request.product_id }checked="checked"{/if}
/>
{/if}{* end if $config.select_multiple_products *}
{else}
<input type="hidden" id="product{$p.product_id}" name="product_id" value="{$p.product_id}" />
{/if}
<label for="product{$p.product_id}"><b>{$p.title} ({if $p.price > 0 }{$config.currency|default:"$"}{$p.price}{else}free{/if})</b><br />
<span class="small">{$p.description}</span></label><br />
{if $p.price <= 0.0 }
<input type="hidden" name="paysys_id_not_required" value="for javascript" />
{/if}
{/foreach}

The modified code may eventually create problems if aMember is used differently, will it not?

Steve